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stiv31 [10]
4 years ago
6

a globe has a diameter of 24 inches. a smaller globe has a diameter of 18 inches. What is the surface are to volume ratio of the

smaller globe? round to the nearest hundredth.
Mathematics
1 answer:
faust18 [17]4 years ago
6 0

Answer:

1 pi: 3pi

Step-by-step explanation:

Step 1: Formula of surface area and volume of sphere

Surface area of sphere = 4 x pi x r^2

Volume of sphere = <u>4</u> x pi x r^3

                                 3

Step 2: Apply values in the formula

r = radius

radius = diameter/2

r=18/2 = 9

S.A = 4 x pi x 9^2

S.A = 324pi

Volume = <u>4</u> x pi x 9^3

                3

Volume = 972pi

Step 3 : Show in ratio

Surface area : Volume

324pi : 972pi

= 1 pi: 3pi

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22.5 times 1,000,000
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3 years ago
What term must go in the space to complete the statement
irakobra [83]

Answer:

5v+35 = 5(v+7)

Step-by-step explanation:

5(v+7) = 5v+35

3 0
3 years ago
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Complete the proof proving YUZ~VWZ
iVinArrow [24]

Answer:

1. ΔXYZ is a right Δ with altitude YU.

Given

2. ΔXYZ ~ ΔYUZ

Right Triangle Altitude Similarity Theorem

3. VW || XY

Given

4. ∠VWZ ≅ ∠XYZ

Corresponding angles

5. ∠Z ≅ ∠Z

Reflexive property of congruence

6. ΔXYZ ~ ΔVWZ

AA Similarity postulate

7. ΔYUZ ~ ΔVWZ

Transitive property of similar triangles

Step-by-step explanation:

The first statement is given in the problem.  Since we know the altitude of a right triangle, we can use the Right Triangle Altitude Similarity Theorem to say that the triangles formed by the altitude are similar to each other and the original triangle.

Next, we are given in the problem statement that the lines VW and XY are parallel.  Therefore, ∠VWZ and ∠XYZ are corresponding angles, which makes them congruent.  And since ∠Z is equal to itself (by reflexive property), we can use AA similarity to say ΔXYZ and ΔVWZ are similar.

Finally, combining statements 2 and 6, we can use transitive property to say that ΔYUZ and ΔVWZ are similar.

4 0
3 years ago
Which of the following statements is true?
lesantik [10]

Answer:

If all four angles of a rectangle have the same measure, then it is a square.

3 0
3 years ago
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Enter the numbethat belongs in the green box.What does measure angle b equal?
gladu [14]

Angle B corresponds to angle D, therefore they are equal. To find Angle B's length, add the two known angle measures then subtract the sum from 180. (All angle measures in a triangle equal 180 when added)

32 + 41 = 73

180 - 73 = 107

<h3>Answer:</h3>

<u>Angle B = </u><u>107º </u>

hope this helps :)

4 0
4 years ago
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